Buslaev Vladimir Savel'evich

Publications in Math-Net.Ru

1. Quasi-Classical Asymptotics of Solutions to the Matrix Factorization Problem with Quadratically Oscillating Off-Diagonal Elements
   
   Funktsional. Anal. i Prilozhen., 48:1 (2014),  1–18
2. A System of Three Three-Dimensional Charged Quantum Particles: Asymptotic Behavior of the Eigenfunctions of the Continuous Spectrum at Infinity
   
   Funktsional. Anal. i Prilozhen., 46:2 (2012),  83–88
3. Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles
   
   Algebra i Analiz, 22:3 (2010),  60–79
4. Homogenization in the Scattering Problem
   
   Funktsional. Anal. i Prilozhen., 44:4 (2010),  2–13
5. One-Dimensional Schrödinger Operator on the Half-Line: the Differential Equation for Eigenfunctions with Respect to the Spectral Parameter and an Analog of the Freud Equation
   
   Funktsional. Anal. i Prilozhen., 41:3 (2007),  84–88
6. Some remarks about the quantum adiabatic theorem
   
   Algebra i Analiz, 16:4 (2004),  41–53
7. Adiabatic asymptotics of the reflection coefficient
   
   Algebra i Analiz, 16:3 (2004),  1–23
8. Asymptotic comparison of differential equations
   
   Algebra i Analiz, 14:4 (2002),  1–18
9. The Gel'fand–Levitan–Marchenko equation and the asymptotic behavior of solutions of the nonlinear Schrödinger equation for large time values
   
   Algebra i Analiz, 12:5 (2000),  64–105
10. Singularities of the Green Function of the Nonstationary Schrödinger Equation
    
    Funktsional. Anal. i Prilozhen., 32:2 (1998),  80–83
11. The Harper equation: monodromization without quasiclassics
    
    Algebra i Analiz, 8:2 (1996),  65–97
12. Quasiclassical integral equations and the asymptotic behavior of solutions of the Korteweg–de Vries equation for large time values
    
    Dokl. Akad. Nauk, 348:4 (1996),  455–458
13. Quasiclassical asymptotics of the resolvent of an integral convolution operator with a sine kernel on a finite interval
    
    Algebra i Analiz, 7:6 (1995),  79–103
14. Bloch solutions for difference equations
    
    Algebra i Analiz, 7:4 (1995),  74–122
15. The complex WKB method for the Harper equation
    
    Algebra i Analiz, 6:3 (1994),  59–83
16. Quasiclassical integral equations with slowly decreasing kernels on bounded domains
    
    Algebra i Analiz, 5:1 (1993),  160–178
17. Scattering for the nonlinear Schrödinger equation: states that are close to a soliton
    
    Algebra i Analiz, 4:6 (1992),  63–102
18. Nonlinear scattering: the states which are close to a soliton
    
    Zap. Nauchn. Sem. POMI, 200 (1992),  38–50
19. Quasiclassical integral equations
    
    Dokl. Akad. Nauk SSSR, 319:3 (1991),  527–530
20. Optical and acoustical Fourier processors
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 72 (1991),  135–180
21. A Bloch electron in an external field
    
    Algebra i Analiz, 1:2 (1989),  1–29
22. Semiclassical approximation for equations with periodic coefficients
    
    Uspekhi Mat. Nauk, 42:6(258) (1987),  77–98
23. Adiabatic perturbation of periodic potential. II
    
    TMF, 73:3 (1987),  430–442
24. Principal singularities of the $S$ matrix for a system of one-dimensional particles
    
    TMF, 70:2 (1987),  266–277
25. Asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding domains
    
    Dokl. Akad. Nauk SSSR, 287:3 (1986),  529–532
26. Trace formula in Lagrangian mechanics
    
    TMF, 61:1 (1984),  52–63
27. Trace formula in general Hamiltonian mechanics
    
    TMF, 60:3 (1984),  344–355
28. Adiabatic perturbation of a periodic potential
    
    TMF, 58:2 (1984),  233–243
29. On the asymptotic behaviour as $t\to\infty$ of the solutions of the equation $\Psi_{xx}+u(x,t)\Psi+(\lambda/4)\Psi$ with a potential $u$ satisfying the Korteweg–De Vries Equation. II.
    
    Zap. Nauchn. Sem. LOMI, 138 (1984),  8–32
30. Wave field in the vicinity of boundary of a wide refractive waveguide
    
    Dokl. Akad. Nauk SSSR, 262:1 (1982),  75–78
31. The Long-time asymptotic behaviour of the solutions of the Korteweg–de Vries equation.
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  32–50
32. Trace formula in Hamiltonian mechanics
    
    Zap. Nauchn. Sem. LOMI, 115 (1982),  40–60
33. Structure of the acoustics field near the surface of deep sea
    
    Zap. Nauchn. Sem. LOMI, 117 (1981),  98–111
34. Asymptotic methods in the problems of asoustics propagation in ocean waveguide and their number realization.
    
    Zap. Nauchn. Sem. LOMI, 117 (1981),  39–77
35. Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles is free of diffractional effects
    
    Zap. Nauchn. Sem. LOMI, 84 (1979),  16–22
36. Solutions of “double soliton” type for the multidimensional equation $\Box u=F(u)$
    
    TMF, 31:1 (1977),  23–32
37. On the asymptotic behavior of the spectral characteristics of exterior problems for the Schrödinger operator
    
    Izv. Akad. Nauk SSSR Ser. Mat., 39:1 (1975),  149–235
38. Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation
    
    TMF, 19:2 (1974),  217–232
39. Trace formula and singularities of the $S$ matrix for a system of three one-dimensional particles. Third group integral
    
    TMF, 16:2 (1973),  247–259
40. On trace formulas in multi-canal problems
    
    Zap. Nauchn. Sem. LOMI, 27 (1972),  47–66
41. Scattered plane waves, spectral asymptotics and trace formulas in exterior problems
    
    Dokl. Akad. Nauk SSSR, 197:5 (1971),  999–1002
42. Potential theory and geometrical optic
    
    Zap. Nauchn. Sem. LOMI, 22 (1971),  175–180
43. The third group integral in quantum mechanical statistics
    
    Trudy Mat. Inst. Steklov., 110 (1970),  29–44
44. Quantization and the WKB method
    
    Trudy Mat. Inst. Steklov., 110 (1970),  5–28
45. On the connection between the third virial coefficient and the $S$ matrix
    
    TMF, 5:3 (1970),  372–387
46. Wave operators for the Schrödinger equation with a slowly decreasing potential
    
    TMF, 2:3 (1970),  367–376
47. On a characteristic property of Weyl quantization
    
    TMF, 2:3 (1970),  292–296
48. Trace equation for a three-particle system
    
    Dokl. Akad. Nauk SSSR, 189:2 (1969),  269–272
49. Invariant description of Maslov's canonical operator
    
    Dokl. Akad. Nauk SSSR, 184:1 (1969),  59–62
50. The generating integral and the canonical maslov operator in the WKB method
    
    Funktsional. Anal. i Prilozhen., 3:3 (1969),  17–31
51. A trace formula in geodesic theory
    
    Dokl. Akad. Nauk SSSR, 182:4 (1968),  743–746
52. Application of continuous integrals to the derivation of the short-wave asymptotic limit in diffraction problems
    
    Dokl. Akad. Nauk SSSR, 160:3 (1965),  566–569
53. Short-wave asymptotic behaviour in the problem of diffraction by smooth convex contours
    
    Trudy Mat. Inst. Steklov., 73 (1964),  14–117
54. On the short-wave asymptotic limit in the problem of diffraction by convex bodies
    
    Dokl. Akad. Nauk SSSR, 145:4 (1962),  753–756
55. Trace formulas for the Schrödinger operator in a three-dimensional space
    
    Dokl. Akad. Nauk SSSR, 143:5 (1962),  1067–1070
56. Formulas for traces for a singular Sturm–Liouville differential operator
    
    Dokl. Akad. Nauk SSSR, 132:1 (1960),  13–16


57. Mikhail Shlemovich Birman (obituary)
    
    Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190
58. Mikhail Shlemovich Birman (on the Occasion of his 75th Birthday)
    
    Algebra i Analiz, 16:1 (2004),  5–14
59. To the jubillee of O. A. Ladyzhenskaya
    
    Zap. Nauchn. Sem. POMI, 288 (2002),  5–13
60. Mikhail Shlyomovich Birman (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 55:1(331) (2000),  204–207
61. Mikhail Shlëmovich Birman (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 43:3(261) (1988),  201–202